Use our free GCF of Fractions Calculator tool to compute the GCF of 602/503, 616/851 i.e 14/428053 easily. The following is the detailed procedure to determine the greatest common factor of fractions 602/503, 616/851.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 602/503,616/851
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 602/503,616/851, numerators are 602,616
Denominators are 503,851
The GCF of 602,616 is 14 .
LCM of 503,851 is 428053.
The greatest common factor of 602/503,616/851 = [GCF of 602,616]/[LCM of 503,851]= 14/428053
Therefore, the GCF of 602/503,616/851 is 14/428053.
To find the highest common factor of 602,616, we have to find the factors of both numbers and list the highest common factor.
The factors of 602 are 1, 2, 7, 14, 43, 86, 301, 602
The factors of 616 are 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
The HCF of 602,616 is 14.
Lets's calculate GCF of 602,616
2 | 602, 616 |
7 | 301, 308 |
43, 44 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Now, list down the factors of 602
:1,2,7,14,43,86,301,602
Now, list down the factors of 616
:1,2,4,7,8,11,14,22,28,44,56,77,88,154,308,616
Greatest Common Factor
We found the factors 602,616 . The biggest common factor number is the GCF number.
So the greatest common factor 602,616 is 14.
Lets's calculate LCM of 503,851
Given numbers has no common factors except 1. So, there LCM is their product i.e 428053
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/428053
Therefore, the GCF of Fractions 602/503,616/851 is 14/428053
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 503,851 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(503,851) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(503,851) x common factors =1 x 1 = 1
LCM(503,851) = ( 503 × 851 ) / 1
LCM(503,851) = 428053 / 1
LCM(503,851) = 428053
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 602,616?
The HCF of 602,616 is 14
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 602/503, 616/851?
Answer: GCF of Numerators as per given numbers 602/503, 616/851 is
GCF of Numerators i.e. for 602,616 is 14
LCM of denominators i.e. for 503,851 is 428053.
Thus, GCF of Fractions is 14/428053.Finally, GCF of Fractions for 602/503, 616/851 is 14/428053.